Alternate Approach to the Stability of Linear Combinations of Polynomials

Norio FUKUMA; Takehiro MORI

Alternate Approach to the Stability of Linear Combinations of Polynomials

Norio FUKUMA, Takehiro MORI

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A stability of convex combinations of polynomials and a stability margin of stable polynomials are studied using Hermite matrices for continuous-time systems. Available results are found to give a heavy computational burden especially in checking the stability of a polytope of polynomials by means of "the edge theorem". We propose alternate stability conditions and margin which reduce the computational burden. In our approach, the stability condition reported by Bialas and Garloff can be derived readily.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E74-A No.7 pp.1911-1914

Publication Date: 1991/07/25

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Type of Manuscript: PAPER

Category: Control and Computing

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Norio FUKUMA
Takehiro MORI

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Norio FUKUMA, Takehiro MORI, "Alternate Approach to the Stability of Linear Combinations of Polynomials" in IEICE TRANSACTIONS on Fundamentals, vol. E74-A, no. 7, pp. 1911-1914, July 1991, doi: .
Abstract: A stability of convex combinations of polynomials and a stability margin of stable polynomials are studied using Hermite matrices for continuous-time systems. Available results are found to give a heavy computational burden especially in checking the stability of a polytope of polynomials by means of "the edge theorem". We propose alternate stability conditions and margin which reduce the computational burden. In our approach, the stability condition reported by Bialas and Garloff can be derived readily.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e74-a_7_1911/_p

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@ARTICLE{e74-a_7_1911,
author={Norio FUKUMA, Takehiro MORI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Alternate Approach to the Stability of Linear Combinations of Polynomials},
year={1991},
volume={E74-A},
number={7},
pages={1911-1914},
abstract={A stability of convex combinations of polynomials and a stability margin of stable polynomials are studied using Hermite matrices for continuous-time systems. Available results are found to give a heavy computational burden especially in checking the stability of a polytope of polynomials by means of "the edge theorem". We propose alternate stability conditions and margin which reduce the computational burden. In our approach, the stability condition reported by Bialas and Garloff can be derived readily.},
keywords={},
doi={},
ISSN={},
month={July},}

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TY - JOUR
TI - Alternate Approach to the Stability of Linear Combinations of Polynomials
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1911
EP - 1914
AU - Norio FUKUMA
AU - Takehiro MORI
PY - 1991
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E74-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 1991
AB - A stability of convex combinations of polynomials and a stability margin of stable polynomials are studied using Hermite matrices for continuous-time systems. Available results are found to give a heavy computational burden especially in checking the stability of a polytope of polynomials by means of "the edge theorem". We propose alternate stability conditions and margin which reduce the computational burden. In our approach, the stability condition reported by Bialas and Garloff can be derived readily.
ER -